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Finding the Third Proportional to 10,212,706 and 15,812,775

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Solution

The third proportional to 10,212,706 and 15,812,775 is: 24,483,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212,706 : 15,812,775 = 15,812,775 : x
  2. Step 2: Convert to fraction form
    10,212,706/15,812,775 = 15,812,775/x
  3. Step 3: Cross multiply
    10,212,706x = 15,812,775 × 15,812,775
  4. Step 4: Simplify right side
    10,212,706x = 250,043,853,200,625
  5. Step 5: Solve for x
    x = 250,043,853,200,625/10,212,706
  6. Step 6: Final answer
    x = 24,483,604.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.